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Finding the Fourth Proportional to 8,180.21, 11,297.88 and 5,523

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Solution

The fourth proportional to 8,180.21, 11,297.88 and 5,523 is: 7,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.21 : 11,297.88 = 5,523 : x
  2. Step 2: Convert to fraction form
    8,180.21/11,297.88 = 5,523/x
  3. Step 3: Cross multiply
    8,180.21x = 11,297.88 × 5,523
  4. Step 4: Simplify right side
    8,180.21x = 62,398,191.24
  5. Step 5: Solve for x
    x = 62,398,191.24/8,180.21
  6. Step 6: Final answer
    x = 7,627.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.